A company wants to determine if its employees have any preference among 5 different health plans which it offers to them. A sample of 200 employees provided the data below. Find the critical value chi Subscript alpha Superscript 2χ2α to test the claim that the probabilities show no preference. Use alphaαequals=0.01. Round to three decimal places. col1 Plan 1 2 3 4 5col2 Employees 32 30 55 65 18

A) 13.277B) 11.143C) 9.488D) 14.860

Question

Jonah Mata

Mathematics

15 January, 23:35

A company wants to determine if its employees have any preference among 5 different health plans which it offers to them. A sample of 200 employees provided the data below. Find the critical value chi Subscript alpha Superscript 2χ2α to test the claim that the probabilities show no preference. Use alphaαequals=0.01. Round to three decimal places. col1 Plan 1 2 3 4 5col2 Employees 32 30 55 65 18

A) 13.277B) 11.143C) 9.488D) 14.860

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Roxanne · Answer 1

a) 13.277

Step-by-step explanation:

The chi-square critical value can be assessed using chi-square area table and for this table need value of alpha and degree of freedom.

The value of alpha is given which is 0.01 and degree of freedom can be calculated as

df=k-1

Where k represent the categories which are 5 in the given case.

df=5-1=4.

For alpha=0.01 and df=4, we get the chi-square critical value 13.277.